Lesson Plans and Worksheets for Grade 8
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More Lessons for Grade 8
Common Core For Grade 8
Videos, examples, solutions to help Grade 8 students know the conditions for which a linear equation will have a unique solution, no solution, or infinitely many solutions.
Common Core Math Grade 8, Module 4, Lesson 7 Worksheets (pdf)
• Students know the conditions for which a linear equation will have a unique solution, no solution, or infinitely many solutions.
• There are three classifications of solutions to linear equations: one solution (unique solution), no solution, or infinitely many solutions.
Equations with no solution will, after being simplified, have coefficients of x that are the same on both sides of the equal sign and constants that are different. For example, x + b = x + c, where b, c are constants that are not equal. A numeric example is 8x + 5 = 8x - 3.
Equations with infinitely many solutions will, after being simplified, have coefficients of x and constants that are the same on both sides of the equal sign. For example, x + a = x + a, where a is a constant. A numeric example is 6x + 1 = 1 + 6x.
Solve each of the following equations for x.
Activity: What can we see in an equation that will tell us about the solution to the equation?
Give a brief explanation as to what kind of solution(s) you expect the following linear equations to have. Transform the equation into a simpler form if necessary.
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